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Finding the Fourth Proportional to 12,803.73, 19,214.30 and 7,858.28

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Solution

The fourth proportional to 12,803.73, 19,214.30 and 7,858.28 is: 11,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.73 : 19,214.30 = 7,858.28 : x
  2. Step 2: Convert to fraction form
    12,803.73/19,214.30 = 7,858.28/x
  3. Step 3: Cross multiply
    12,803.73x = 19,214.30 × 7,858.28
  4. Step 4: Simplify right side
    12,803.73x = 150,991,214.04
  5. Step 5: Solve for x
    x = 150,991,214.04/12,803.73
  6. Step 6: Final answer
    x = 11,792.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.